111031 has 2 divisors, whose sum is σ = 111032. Its totient is φ = 111030.

The previous prime is 111029. The next prime is 111043. The reversal of 111031 is 130111.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 111031 - 2¹ = 111029 is a prime.

It is a super-2 number, since 2×111031² = 24655765922, which contains 22 as substring.

Together with 111029, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55515 + 55516.

It is an arithmetic number, because the mean of its divisors is an integer number (55516).

2¹¹¹⁰³¹ is an apocalyptic number.

111031 is a deficient number, since it is larger than the sum of its proper divisors (1).

111031 is an equidigital number, since it uses as much as digits as its factorization.

111031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 111031 is about 333.2131449988. The cubic root of 111031 is about 48.0634288774.

Adding to 111031 its reverse (130111), we get a palindrome (241142).

The spelling of 111031 in words is "one hundred eleven thousand, thirty-one".